Question

Factor the following 15v^2+7=38v

Answer 1

v = 1/5, 7/3

Explanation:

Answer 2

Question:-

Factor the following 15v² + 7 = 38v

Solution:-

15v² + 7 = 38v

15v² - 38v + 7 = 0

15v² - 3v - 35v + 7 = 0

3v(5v - 1) - 7(5v - 1) = 0

(5v - 1)(3v - 7) = 0

So,

Either, 5v - 1 = 0

5v = 1

`{ \boxed{\rm \red {v \: = (1)/(5)}}}` (Answer)

And, 3v - 7 = 0

3v = 7

`{ \boxed{\rm \purple {v \: = (7)/(3)}}}` (Answer)